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Finding the Third Proportional to 344,607 and 730,128

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Solution

The third proportional to 344,607 and 730,128 is: 1,546,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,607 : 730,128 = 730,128 : x
  2. Step 2: Convert to fraction form
    344,607/730,128 = 730,128/x
  3. Step 3: Cross multiply
    344,607x = 730,128 × 730,128
  4. Step 4: Simplify right side
    344,607x = 533,086,896,384
  5. Step 5: Solve for x
    x = 533,086,896,384/344,607
  6. Step 6: Final answer
    x = 1,546,941.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.